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Directed transport within Hamiltonian dynamics: From theory to cold atoms experiments

哈密顿动力学中的定向传输：从理论到冷原子实验

基本信息

批准号：
30082554
负责人：
Professor Dr. Peter Hänggi
金额：
--
依托单位：
Lehrstuhl für Theoretische Physik I
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2006
资助国家：
德国
起止时间：
2005-12-31 至 2014-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/30082554?language=en
关键词：
Directed transport within Hamiltonian dynamics

项目摘要

This project is aimed at a detailed study of the conditions of emergence, the mechanisms and the control of directed transport at/near the limit of vanishing dissipation (Hamiltonian transport). This task will be undertaken, both in the classical and quantum regimes. Modern progress in the experimental manipulation of ultra-cold atoms in optical lattices constitute an exciting field of topical research, inasmuch as these systems create a direct link between quantum and classical Hamiltonian dynamics. Thus, our planned project is interdisciplinary being settled at the borderline of Hamiltonian chaos, non.equilibrium (quantum)-thermodynamics and quantum optics.In a first part of the project, we plan to elucidate the role of the classical phase space structure in quantum evolution. The specific problem we want to address, is how new transport modes of quantum dynamics may arise due to underlying Hamiltonian mixed phase space, and how these modes can constructively put to use for new schemes of cold-atom manipulations.The second part of the project is devoted to the study of directed transport mechanisms in the case when a ratchet system is subjected to a dephasing environment in the form of heat bath and/or cooperative interactions among different single ratchets. The goal here is to study the role of decoherence in the current rectification processes both, in the semi-classical regime and the quantum regime (coupled quantum ratchets, ratchet with Bose-Einstein condensates).

该项目的目的是详细研究消失耗散极限（汉密尔顿输运）处/附近的定向输运的出现条件、机制和控制。这项任务将在经典和量子体系中进行。光学晶格中超冷原子实验操作的现代进展构成了令人兴奋的主题研究领域，因为这些系统在量子和经典哈密顿动力学之间建立了直接联系。因此，我们计划的项目是跨学科的，正在解决的边界汉密尔顿混沌，非平衡（量子）热力学和量子光学。在该项目的第一部分，我们计划阐明经典相空间结构在量子演化中的作用。我们想要解决的具体问题是，量子动力学的新输运模式如何由于底层的哈密顿混合相空间而出现，第二部分研究了棘轮系统在热浴和/或非热浴退相环境中的定向输运机制，并讨论了在热浴和/或非热浴退相环境中的定向输运机制。或不同单棘轮之间的合作相互作用。这里的目标是研究退相干在当前整流过程中的作用，在半经典制度和量子制度（耦合量子棘轮，棘轮与玻色爱因斯坦凝聚）。